一类时滞广义系统的非脆弱H_∞控制  

Non-fragile H_∞ Control for a Class of Singular Time-delay Systems

作　　者：马跃超[1] 张娜[1] 梁建云[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《控制工程》2013年第4期703-706,共4页Control Engineering of China

基　　金：国家自然科学基金(60974004)

摘　　要：针对一类时滞广义系统,讨论其时滞相关非脆弱H_∞控制问题。通过构造Lyapunov-Krasovskii泛函,利用线性矩阵不等式方法和最新建立的积分不等式,给出了时滞广义系统的鲁棒H_∞控制的时滞相关判据,设计非脆弱记忆反馈控制器,使得时滞广义系统正则、无脉冲、渐近稳定且满足H_∞范数小于给定界γ。数值例子与已有文献进行比较,说明了所给方法的有效性及优越性。In this paper, the problem of delay-dependent robust and non-fragile H∞ control for singular systems with state-delay is in- vestigated. Based on linear matrix inequality（LMI） approach and a new integral inequality, a delay-dependent sufficient condition for the problem of H∞control for a class of singular systems is proposed by constructing generalized Lyapunov-Krasovskii function. We design a memory state feedback controller under controller gain perturbations, which guarantees that, the resultant closed-loop system is regular, impulse free, and stable with an H∞ norm bound constraint. Numerical examples show that the proposed methods are less conservative than existing ones.

关 键 词：非脆弱H∞控制 时滞相关 广义时滞系统 线性矩阵不等式 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]